The Elements of Euclid |
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Página 62
THE OR . a ftraight line drawn thro ' the center of a circle , bifect a straight line in it which does not pafs thro ' the center , it shall cut it at right angles . and if it cuts it at right angles , it fhall bifect it .
THE OR . a ftraight line drawn thro ' the center of a circle , bifect a straight line in it which does not pafs thro ' the center , it shall cut it at right angles . and if it cuts it at right angles , it fhall bifect it .
Página 63
Ἐ IF in a circle two straight lines cut one another which do not both pass thro ' the center , they do not bi- fect each the other . Let ABCD be a circle , and AC , BD two ftraight lines in it which cut one another in the point E ...
Ἐ IF in a circle two straight lines cut one another which do not both pass thro ' the center , they do not bi- fect each the other . Let ABCD be a circle , and AC , BD two ftraight lines in it which cut one another in the point E ...
Página 66
IF any point be taken without a circle , and straight lines be drawn from it to the circumference , whereof one paffes thro ' the center ; of thofe which fall upon the concave circumference the greatest is that which paffes ...
IF any point be taken without a circle , and straight lines be drawn from it to the circumference , whereof one paffes thro ' the center ; of thofe which fall upon the concave circumference the greatest is that which paffes ...
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added alfo alſo altitude angle ABC angle BAC bafe baſe becauſe bifected Book Book XI circle circle ABCD circumference common cone cylinder defcribed Definition demonftrated diameter divided double draw drawn equal equal angles equiangular equimultiples excefs fame fame multiple fecond fegment fhall fhewn fides fimilar firft firſt folid folid angle fore four fourth fquare fquare of BC ftraight line given angle given ftraight line given in fpecies given in pofition given magnitude given ratio greater Greek half join lefs magnitude manner meet oppofite parallel parallelogram perpendicular plane produced PROP Propofition proportionals pyramid reafon rectangle remaining right angles ſphere taken THEOR theſe third thro triangle ABC wherefore whole
Información bibliográfica
| Título | The Elements of Euclid |
| Autor | Euclid |
| Editor | Robert Simson |
| Editor | A. Foulis, 1838 |
| Procedencia del original | de la Universidad de Virginia |
| Digitalizado | 6 Oct. 2010 |
| Largo | 466 páginas |
| Exportar cita | BiBTeX EndNote RefMan |